Abstract: Carbon capture technology is a rapidly growing and developing field that has seen extensive research conducted in both experimental and numerical studies. The majority of numerical simulations conducted thus far have primarily concentrated on mesh-based methods, disregarding the potential of full Lagrangian methods in accurately simulating multiphase and intricate flows. Consequently, this research aims to address this gap by introducing, for the first time, the application of the Lagrangian Smoothed Particle Hydrodynamics (SPH) method to simulate and analyze the process of carbon dioxide absorption in an aqueous solution. The first step in this study involves developing a suitable and relatively accurate algorithm based on the governing equations of carbon dioxide absorption. These equations encompass mass and momentum conservation, heat transfer, mass transfer, and chemical reactions. Once the algorithm is developed, it is validated through computational code and the optimal grid of particles is selected for calculations. Subsequently, three different scenarios for the entry of carbon dioxide into the aqueous solution are modeled and discussed. The results reveal that as the number of carbon dioxide inputs increases, the instabilities of the two-phase flow along the microchannel also increase. These instabilities significantly enhance the rate of carbon dioxide absorption. Overall, this study highlights the importance of considering Lagrangian methods, specifically the SPH method, in simulating multiphase and complex flows in carbon capture technology. The findings contribute to a better understanding of the carbon dioxide absorption process and can potentially aid in the development of more efficient carbon capture systems.